<abstract xmlns="http://www.w3.org/1999/xhtml"><p>For <italic>r</italic> ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for <italic>r</italic>th order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.</p></abstract>

For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

Laboratoire des Mathematiques Appliqués et Pures

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard...

Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

Published Online: May 29, 2020

Page range: 62 - 75

Received: Feb 07, 2020

Accepted: Apr 10, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0006

Keywords
Existence, Hadamard-Caputo derivative, Fractional differential inclusions, Convex, Nonconvex, Integral boundary conditions

© 2020 Ahmed Zahed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

Published Online: May 29, 2020

Page range: 62 - 75

Received: Feb 07, 2020

Accepted: Apr 10, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0006

KeywordsExistence, Hadamard-Caputo derivative, Fractional differential inclusions, Convex, Nonconvex, Integral boundary conditions

© 2020 Ahmed Zahed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Existence, Hadamard-Caputo derivative, Fractional differential inclusions, Convex, Nonconvex, Integral boundary conditions